The first six books of the Elements of Euclid, with numerous exercises |
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Αποτελέσματα 6 - 10 από τα 74.
Σελίδα 8
5 ) to the angle a dc : but а . the angle a cd is greater than the angle bed ; therefore the angle adc is greater also than bcd ; much greater then is the angle bdc than the angle bed . Again , because c b is equal to db , the angle bdc ...
5 ) to the angle a dc : but а . the angle a cd is greater than the angle bed ; therefore the angle adc is greater also than bcd ; much greater then is the angle bdc than the angle bed . Again , because c b is equal to db , the angle bdc ...
Σελίδα 10
... angle d be is a b equal to the angle cbe , the less to the greater , which is impossible ; therefore two straight lines cannot have a common segment . e C PROPOSITION XII . — PROBLEM . To draw a straight 10 THE ELEMENTS OF EUCLID .
... angle d be is a b equal to the angle cbe , the less to the greater , which is impossible ; therefore two straight lines cannot have a common segment . e C PROPOSITION XII . — PROBLEM . To draw a straight 10 THE ELEMENTS OF EUCLID .
Σελίδα 12
to the remaining angle a b d , the less to the greater , which is impossible ; therefore be is not in the same straight line with b c . And in like manner it may be demonstrated , that no other can be in the same straight line with it ...
to the remaining angle a b d , the less to the greater , which is impossible ; therefore be is not in the same straight line with b c . And in like manner it may be demonstrated , that no other can be in the same straight line with it ...
Σελίδα 13
If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles . LET a b c be a triangle , and let its side bc be produced to d , the exterior с angle a cd is greater than either of the ...
If one side of a triangle be produced , the exterior angle is greater than either of the interior opposite angles . LET a b c be a triangle , and let its side bc be produced to d , the exterior с angle a cd is greater than either of the ...
Σελίδα 14
The greater side of every triangle is opposite to the greater angle . LET a bc be a triangle , of which the side ac is greater than the side a b ; the angle a b c is also greater than the angle b ca. Because a c is greater than ab ...
The greater side of every triangle is opposite to the greater angle . LET a bc be a triangle , of which the side ac is greater than the side a b ; the angle a b c is also greater than the angle b ca. Because a c is greater than ab ...
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a b c angle a b c angle bac base base bc bc is equal bisected centre circle circumference common compounded definition demonstrated describe diameter divided double draw equal angles equal to f equiangular equilateral equimultiples exterior angle extremity fall fore four fourth given straight line greater half ILLUSTRATED inscribe join less likewise magnitudes manner meet multiple parallel parallelogram pass perpendicular produced proportionals PROPOSITION ratio reason rectangle contained rectilineal figure remaining angle right angles segment shewn sides similar square square of a c straight line a b Take taken third touches the circle triangle triangle a b c wherefore whole